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Finding the Fourth Proportional to 34.38, 51.54 and 14.11

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Solution

The fourth proportional to 34.38, 51.54 and 14.11 is: 21.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.38 : 51.54 = 14.11 : x
  2. Step 2: Convert to fraction form
    34.38/51.54 = 14.11/x
  3. Step 3: Cross multiply
    34.38x = 51.54 × 14.11
  4. Step 4: Simplify right side
    34.38x = 727.05
  5. Step 5: Solve for x
    x = 727.05/34.38
  6. Step 6: Final answer
    x = 21.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.